6. Think of an experiment for which an event occurs with each probability. Explain your choice. a) 100% b) 1/2 c) 1:6 d) 0

a) 100%. Choosing a red marble out of a bag that contains 10 red marbles.

b) 1/2, or 50%. Flipping a fair coin  and landing on heads.

c) 1/6, or approximately 16.7%. Choosing a blue marble out of a bag that contains one blue marble and 5 other green marbles. (1 blue/ total (1 blue+5 green).

d) 0, or 0%. Choosing a yellow marble out of a bag that contains all green marbles.

Step-by-step explanation:

a) 100%. Choosing a red marble out of a bag that contains 10 red marbles.

If there are only red marbles in the bag, the only possible outcome for your selection is a red marble. Thus the chance you will select a red marble is 100%.

b) 1/2, or 50%. Flipping a fair coin  and landing on heads.

For a fair coin, you either land on heads or tails. Because there are two sides to choose from- the probability that you will choose correctly is 50%

c) 1/6, or approximately 16.7%. Choosing a blue marble out of a bag that contains one blue marble and 5 other green marbles. (1 blue/ total (1 blue+5 green).

In the bag, there are a total of 6 marbles (5 green and 1 blue) If you were to choose a blue marble, your chances would be 1/6. (Blue/Blue+Green)

d) 0, or 0%. Choosing a yellow marble out of a bag that contains all green marbles.

In the bag, there are only green marbles. Thus, it is impossible to chose a yellow marble from that bag and the chance is 0%.

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step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.